Physics
Scientific paper
Nov 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phlb..205..441n&link_type=abstract
Physics Letters B, Volume 205, Issue 4, p. 441-446.
Physics
15
Cosmology, Fokker-Planck Equation, Galactic Clusters, Stochastic Processes, Universe, Chaos, Gauge Theory, Planetary Evolution, Power Spectra
Scientific paper
Using the Fokker-Planck equation derived from stochastic approach to inflation, the dynamics and global structure of the chaotic inflationary universe are investigated. Full account was taken of the difference in the physical volume of each horizon size region in the Fokker-Planck equation. It was found that the modified Fokker-Planck equation admits a normalizable stationary solution, contrary to the original equation. The approximate form of the solution was evaluatedand it describes both the distribution of quantum universes out of which the universes was born and that of large classical (grow-up) universes like ours. In particular, for lambda phi4 theory, the distribution of classical universes has a power law spectrum. Thus there appears no characteristic scale and the distribution of classical universes has a fractal structure.
Nambu Yasusada
Sasaki Masao
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